What is the relationship between solutions to a quadratic equation and the x intercept.

Q: Which equation models the relationship between the number of hours, c, of the snowstorm, and the…

A: We know that the equation of a straight line in slope-intercept form is given as: y = mx + c…

Q: The quantity b2 - 4ac is called the____ of a quadratic equation. If it is___, the equation has no…

A: We know ,for a quadratic equation of the form ax2+bx+c=0,(a≠0) Discriminant D is given by: D=b2-4ac…

Q: The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the…

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Q: Write the quadratic equation in standard form: -7x + x2 = -3x? + 6

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Q: 2x2 – x = 3

A: Solve equation

Q: Why must we change the equation 3x2 - 2x = 4 to 3x2 - 2x - 4 = 0 before applying the quadratic…

A: Consider the equation, 3x2-2x=4

Q: -2 -1- 2-

A: From the quadratic equation..

Q: What is the domain of the equation y=3x²-4x?

A: Given,            y =3x2 - 4x

Q: how do you find the vertex in a quadratic equation

A: A quadratic equation is written as ax2+bx + c

Q: y=-3x2- x+6? What is the line of symmetry for this quadratic equation?

A: given function  Formula of axis of symmetry is as below : Here  a=-3b=-1c=6

Q: Write the quadratic equation whose roots are 6 and 1, and whose leading coefficient is 3.

A: Since the roots are 1 and 6. That means, x=1⇒x-1=0And,x=6⇒x-6=0 Therefore, a polynomial with leading…

Q: What’s the quadratic equation?

A: A quadratic equation is an equation of the second degree, meaning it contains at least one term that…

Q: Does the equation describe a quadratic equation? Why? please explain (x-2)2 - 5=0

A: First expand the given equation by using algebraic identity (a-b)2=a2-2ab+b2, so…

Q: If the zeros of a quadratic equation are -3 and 5, what would be the x-intercepts

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Q: Write a quadratic equation whose roots are 3 and -6 and who leading coefficient is 3.

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Q: explain by when solving and graphing a quadratic equation in the form ax^2 + bx + c = 0, there may…

A: Note that roots are also known as the zeros or x intercepts. A quadratic equations graph represents…

Q: Write an equation for the quadratic graphed below x-intercepts (-2,0) and (3,0) y intercept (0,-2)…

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Q: The quantity b2 - 4ac is called the  _____________ of a quadratic equation. If it is _____________ ,…

A: To fill the blanks :   The quantity b2 - 4ac is called the _______ of  a quadratic equation. If…

Q: What are the three ways to solve a quadratic equation?

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Q: Write the quadratic equation whose roots are 3 and 2, and whose leading coefficient is 4.

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Q: What is quadratic equation ?

A: Suppose ft be a quadratic polynomial in indeterminate t, then the general form of the quadratic…

Q: Sketch a diagram to show that this equation is true. 3x4-4x3

A: WE have to show that , 3×4=4×3

Q: How can I write a quadratic equation when I am given the vertex and another point of the graph?

A: Definition used -                    The vertex form of quadratic equation is given by -…

Q: What is quadratic equations?

A: We have to define the quadratic equations. Quadratic equations are the equations in one variable…

Q: Write the quadratic equation whose roots are -3 and 4, and whose leading coefficient is 3, (Use the…

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Q: What is the solution to this quadratic, -3x2 + 8x - 6 = 0

A: A detailed solution is given below

Q: What is a quadratic equation?

A: Quadratic equation: An equation equation is in the form ax2+bx+c are termed as a quadratic equation.…

Q: Write the quadratic equation whose roots are -4 and 6, and whose leading coefficients is 1.

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Q: a) -2 -1 1 4 y 5 -3 -4 -3 5 3. 2.

A: GIven x -2 -1 0 1 2 3 4 y 5 0 -3 -4 -3 0 5 To find  Equation which satisfies above table

Q: Write a quadratic equation in standard form with the given equation. -7,3/4 Not Graded

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Q: What is Relationship between the Coefficients and Roots of a Quadratic Equations?

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Q: 2. Write a quadratic equation which has -2/3 and 2/3 as solutions.

A: Roots are:23 and -23Equation:(x-23)(x+23) =0x2 -23 x + 23 x -12 =0x2 - 12 =0Quadratic equation…

Q: When shifting right or left in a quadratic equation which term in ax^2+bx+c would you use?

A: The quadratic equation is ax2+bx+c

Q: Write the quadratic equation whose roots are -3 and -6, and whose leading coefficient is 3. (Use the…

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Q: A landscaper is creating a patio in the shape of a right triangle. If one side of the patio will be…

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Q: Determine the nature of the solutions of the equation. x + 2x + 10 = 0

A: The given quadratic equation is x2+2x+10=0. Compare the given quadratic equation with the general…

Q: Why do we need zero on one side of a quadratic equation to solve theequation?

A: An equation is an equality with the algebraic terms involving different powers of the independent…

Q: Why is x2 + 3x - 16 a Quadratic equation

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Q: value

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Q: Write an equation for the quadratic graphed below: x-intercepts: (-2,0) and (1,0); y-intercept:…

A: Equation of quadratic equation :

Q: Write an equation for the quadratic graphed below: x-intercepts: (-3,0) and (2,0); y-intercept:…

A: the graph of the quadratic function is given: given that the x intercepts of the quadratic function…

Q: How do you solve a quadratic equation?

A: Procedure for solving a quadratic equation.

Q: x^2-12x=-20

A: By adding 20, the right side become 0 x2-12x+20=-20+20x2-12x+20=0

Q: Write an equation for the quadratic graphed below: x-intercepts: (-3,0) and (2,0); y-intercept:…

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Q: Write the quadratic equation whose roots are -2 and -6, and whose leading coefficient is 4. (Use the…

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Q: If the zeros of a quadratic equation are -3 and 5, what be the x-intercepts

A: Given: If the zeros of a quadratic equation are -3 and 5

Q: What is the relationship between factors if a quadratic and the solutions to a quadratic equation?

A: Given : the relationship between factors if a quadratic and the solutions to a quadratic equation

Q: explain why the x-intercept can be used to solve (x-6)(x-3)=0

A: The x-intercept is the point where the line crosses the x-axis.   The x-intercepts are points where…